Search a number
-
+
200211000210 = 23351397588043
BaseRepresentation
bin1011101001110110000…
…0010110101110010010
3201010210001022121101000
42322131200112232102
511240013004001320
6231550424322430
720315262264654
oct2723540265622
9633701277330
10200211000210
11779aa987841
1232976313416
1315b58c58380
1499941286d4
15531bc52c90
hex2e9d816b92

200211000210 has 128 divisors (see below), whose sum is σ = 580893384960. Its totient is φ = 48774555648.

The previous prime is 200211000179. The next prime is 200211000229. The reversal of 200211000210 is 12000112002.

200211000210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200211000192 and 200211000201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46449 + ... + 634491.

It is an arithmetic number, because the mean of its divisors is an integer number (4538229570).

Almost surely, 2200211000210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200211000210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290446692480).

200211000210 is an abundant number, since it is smaller than the sum of its proper divisors (380682384750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200211000210 is a wasteful number, since it uses less digits than its factorization.

200211000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588169 (or 588163 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200211000210 its reverse (12000112002), we get a palindrome (212211112212).

The spelling of 200211000210 in words is "two hundred billion, two hundred eleven million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 97 117 130 135 194 195 234 270 291 351 390 485 582 585 702 873 970 1170 1261 1455 1746 1755 2522 2619 2910 3510 3783 4365 5238 6305 7566 8730 11349 12610 13095 18915 22698 26190 34047 37830 56745 68094 113490 170235 340470 588043 1176086 1764129 2940215 3528258 5292387 5880430 7644559 8820645 10584774 15289118 15877161 17641290 22933677 26461935 31754322 38222795 45867354 52923870 57040171 68801031 76445590 79385805 114080342 114668385 137602062 158771610 171120513 206403093 229336770 285200855 342241026 344005155 412806186 513361539 570401710 688010310 741522223 855602565 1026723078 1032015465 1483044446 1540084617 1711205130 2064030930 2224566669 2566807695 3080169234 3707611115 4449133338 5133615390 6673700007 7415222230 7700423085 11122833345 13347400014 15400846170 20021100021 22245666690 33368500035 40042200042 66737000070 100105500105 200211000210